Finding the Third Proportional to 109,188 and 166,698

Step by Step Solution

1. Step 1: Write the proportion equation
   109,188 : 166,698 = 166,698 : x
2. Step 2: Convert to fraction form
   109,188/166,698 = 166,698/x
3. Step 3: Cross multiply
   109,188x = 166,698 × 166,698
4. Step 4: Simplify right side
   109,188x = 27,788,223,204
5. Step 5: Solve for x
   x = 27,788,223,204/109,188
6. Step 6: Final answer
   x = 254,498.88